Three-dimensional topological (crystalline) insulators are materials with an insulating bulk
but conducting surface states that are topologically protected by time-reversal (or spatial) …

We study the bulk-boundary correspondence for topological crystalline phases, where the
crystalline symmetry is an order-two (anti) symmetry, unitary or antiunitary. We obtain a …

The study of spatial symmetries was accomplished during the last century and had greatly
improved our understanding of the properties of solids. Nowadays, the symmetry data of any …

A topological insulator reveals its nontrivial bulk through the presence of gapless edge
states: This is called the bulk-boundary correspondence. However, the recent discovery of …

We study the classification of symmetry-protected topological (SPT) phases with crystalline
symmetry (cSPT phases). Focusing on bosonic cSPT phases in two and three dimensions …

In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …

We discover new types of quantum anomalies in two-dimensional systems with time-
reversal symmetry (T) and discrete rotation symmetry with order of n= 2, 4, and 6 (Cn). The …

We study a two-dimensional tight-binding model of a topological crystalline insulator (TCI)
protected by rotation symmetry. The model is built by stacking two Chern insulators with …

We present a scheme to explicitly construct and classify general topological states jointly
protected by an onsite symmetry group and a spatial symmetry group. We show that all …

When interacting spins in condensed matter order ferromagnetically, their ground-state
wave function is topologically trivial. Nonetheless, in two dimensions, ferromagnets can …